Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.
What can Vector report to his local Biogas Club about the results of his experiments? ​

Answer:

4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

The general form of linear functions are y = mx+b. Here, m is the slope and b is the y intercept. Therefore we can already see that m = 8/9 as the question is already in the general form y = mx+b.

Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

Answer:

Step-by-step explanation:

Let

Price of

Hotdogs = x

Sodas = y

Candy bar = z

Smith family

Hotdogs = 3

Sodas = 2

Candy bar = 1

Total cost = $16.50

3x + 2y + z = 16.50

Patterson family

Hotdogs = 4

Sodas = 4

Candy bar = 2

Total = $26

4x + 4y + 2z = 26

Nguyen family

Hotdogs = 2

Sodas = 1

Candy bar = 3

Total cost = $13.75

2x + y + 3z = 13.75

The equations

3x + 2y + z = 16.50 (1)

4x + 4y + 2z = 26 (2)

2x + y + 3z = 13.75 (3)

Multiply (1) by -2

-2(3x + 2y + z = 16.50)

-6x - 4y - 2z = -33

-6x - 4y - 2z = -33 (1a)

4x + 4y + 2z = 26 (2)

Add (1a) and (2)

-6x + 4x = -33 + 26

- 2x = -7

x = -7/-2

= 3.5

x = $3.5

Multiply (3) by -4

-4(2x + y + 3z = 13.75) (3)

-8x - 4y - 12z = -55 (3a)

Add (3a) and (2)

-8x - 4y - 12z = -55 (3a)

4x + 4y + 2z = 26 (2)

-8x + 4x -12z + 2z = -55 + 36

-4x - 10z = -29

Substitute the value of x into

-4x - 10z = -29

-4(3.5) - 10z = -29

-14 - 10z = -29

-10z = -29 + 14

-10z = - 15

z = -15 / - 10

= 1.5

z = $1.5

Substitute values of x and z into (1)

3x + 2y + z = 16.50

3(3.5) + 2y + 1.5 = 16.50

10.5 + 2y + 1.5 = 16.50

12 + 2y = 16.50

2y = 16.50 - 12

2y = 4.50

y = 4.50 / 2

y = $2.25

Answer:

f(x)= -2

Step-by-step explanation:

f(x) = x^2- 51

        -7^2-51

          49-51

            -2

f(x)= -2

Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

[tex]=x^2+16[/tex]

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

Answer: He has 2 dozen cupcakes

Step-by-step explanation:

120*12=1440

20*12=240

1440-240=1200

98*12=1176

1200-1176=24

24= 2 dozens

Answer:

7/12 or in decimal form it is .583

Step-by-step explanation:

Please mark brainliest!

hope this helps!

Answer:

You have written 26 pages in total.

Step-by-step explanation:

I always enjoyed adding fractions. Something about it is so... simple.

The problem is basically asking us to add 20 1/2 and 5 1/2 together.

I would first suggest adding both halves together, to make 1.

That way, we're left with 20 + 5 + 1. That seem easier, doesn't it?

Then we would add 20, 5 and 1 together, to get 26 whole pages.

And that, to an extent, is how I did it.

Hope this helps! :D

Answer:

Given:

Written pages for Act 1 = 20 1/2

Written pages for Act 2 = 5 1/2

For making mixed numbers like this easier to add, let's convert them first into an irrational number with this formula,

((Whole Number × Denominator) + Numerator)/Denominator

Thus,

for 20 1/2

((20 × 2) + 1)/2 = 41/2

for 5 1/2

((5 × 2) + 1)/2 = 11/2

Then we add,

41/2 + 11/2

Since, they have the same denominator, no more conversions need, proceed adding the numerators,

(41 + 11)/2 = 52/2 = 26

You've written 26 pages in total.

Answer:

4 1/24

Step-by-step explanation:

1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24

Answer:

umm 1500? hmqmmmmmm

ye

Answer:

Length = 11.2 ft

Step-by-step explanation:

Area of a square garden = 125 square feet

Formula to find

Area of a square = length^2

Substitute the value of the Area of the square garden

Area of a square = length^2

125 = length^2

Find the square root of both sides

√125 = √length^2

11.18 = length

Approximately

Length = 11.2 ft

Answer:

If x is 55, z is also 55. Now subtract, and boom! you get 15 degrees

Step-by-step explanation:

I think the whole triangle is 125* total, and has three sides, one smaller than the rest. Hope this helps!

Answer:

If your question is [tex]\sqrt{80}[/tex], your answer is 8.94 or [tex]4\sqrt{5}[/tex]

Hope this helps!

Answer:

a) line [EA]

b) line [HA]

Step-by-step explanation:

Answer:

a) line(EA)

b) line(HA)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

they are the same thing

Step-by-step explanation:

Answer:

They are practically the same thing but if you want to get technical then they are related because A slope  a measure of steepness. A line with a large slope, such as 25, is very steep. A  line with a small slope, such as 1 /10 is very flat. So this means it will rise over run if that makes sense.

Hope this helps!

Answer:

answers in PDF

Step-by-step explanation:

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

Answer:

8*x+16-(8*x-16)=0

Step-by-step explanation:

Solve :    32   =  0

This equation has no solution.

A. a non-zero constant never equals zero.

Hope this helps! Please mark Brainliest!

Answer:

no

Step-by-step explanation:

Answer:

72773100000%

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.

Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

7277310001×100100=72773100000100

72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%

Therefore, we have shown that

727731000 = 72773100000%

Simplified Conversion:

Multiply by 100 and add the percent sign %

727731000 × 100 becomes 72773100000%

Shortcut Conversion:

Move the decimal point 2 places to the right and add the percent sign %

727731000 becomes 72773100000%

Answer:

then substitute y in eq 1 to get x

hope this helped you

Please mark as the brainliest (ㆁωㆁ)

Answer:

$1725

Step-by-step explanation:

15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

learn more about distributive property here :

https://brainly.com/question/5637942

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Answer:

Option C

Step-by-step explanation:

[tex]-3(-1)+15=18\\\\3 + 15 = 18\\\\\boxed{18=18}[/tex]

Option C is the correct answer.

Hope this helps.

For the value of x = - 1, the correct equation is,

⇒ - 3x + 15 = 18

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The value of x is,

⇒ x = - 1

Now, Substitute the value of x in all equations and check the correct equation.

For equation 3;

⇒ - 3x + 15 = 18

Substitute x = - 1 ;

⇒ -3×-1 + 15 = 18

⇒ 3 + 15 = 18

⇒ 18 = 18

Thus, The correct equation is,

⇒ - 3x + 15 = 18

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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Answer:

d

Step-by-step explanation:

Answer:

Domain: 0,2,3

Range: -1,-3,-2

Step-by-step explanation: